Effect of spin-orbit coupling on the excitation spectrum of Andreev billiards

Details Effect of spin-orbit coupling on the excitation spectrum of Andreev billiards Effect of spin-orbit coupling on the excitation spectrum of Andreev billiards

2006-12-19

arxiv.org/abs/cond-mat/0612501v1

Phys.Rev.B 75, 165307 (2007)

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

5 pages, 4 figures

Scientific paper

10.1103/PhysRevB.75.165307

We consider the effect of spin-orbit coupling on the low energy excitation spectrum of an Andreev billiard (a quantum dot weakly coupled to a superconductor), using a dynamical numerical model (the spin Andreev map). Three effects of spin-orbit coupling are obtained in our simulations: In zero magnetic field: (1) the narrowing of the distribution of the excitation gap; (2) the appearance of oscillations in the average density of states. In strong magnetic field: (3) the appearance of a peak in the average density of states at zero energy. All three effects have been predicted by random-matrix theory.

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